Using proportions, it is found that he can sort 2160 pieces in 45 minutes.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
He can sort 8 pieces of mail in 10 seconds, hence the number of pieces he can sort per second is given by:
8/10 = 0.8 pieces per second.
45 minutes have 45 x 60 = 2700 seconds, hence the number of pieces is:
2700 x 0.8 = 2160 pieces.
He can sort 2160 pieces in 45 minutes.
More can be learned about proportions at brainly.com/question/24372153
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